Dune::BilinearSurfaceMapping Class Reference

A bilinear surface mapping. More...

#include <dune/alugrid/3d/mappings.hh>

Inheritance diagram for Dune::BilinearSurfaceMapping:

Public Member Functions
	BilinearSurfaceMapping ()
	Constructor creating empty mapping with double , i.e. zero.
	BilinearSurfaceMapping (const coord3_t &, const coord3_t &, const coord3_t &, const coord3_t &)
	Constructor getting FieldVectors.
	BilinearSurfaceMapping (const double3_t &, const double3_t &, const double3_t &, const double3_t &)
	Constructor for double[3].
	BilinearSurfaceMapping (const BilinearSurfaceMapping &)
	~BilinearSurfaceMapping ()
void	inverse (const coord3_t &) const
const inv_t &	jacobianInverseTransposed (const coord2_t &) const
const matrix_t &	jacobianTransposed (const coord2_t &) const
alu3d_ctype	det (const coord2_t &) const
void	world2map (const coord3_t &, coord2_t &) const
void	map2world (const coord2_t &, coord3_t &) const
void	map2world (const alu3d_ctype, const alu3d_ctype, coord3_t &) const
template<class vector_t >
void	buildMapping (const vector_t &, const vector_t &, const vector_t &, const vector_t &)
template<class vector_t >
alu_inline void	buildMapping (const vector_t &_p0, const vector_t &_p1, const vector_t &_p2, const vector_t &_p3)
bool	affine () const
void	normal (const coord2_t &, coord3_t &) const
void	normal (const alu3d_ctype, const alu3d_ctype, coord3_t &) const
void	negativeNormal (const coord2_t &, coord3_t &) const
void	negativeNormal (const alu3d_ctype, const alu3d_ctype, coord3_t &) const

Protected Types
typedef SurfaceNormalCalculator	BaseType
typedef FieldVector< alu3d_ctype, 3 >	coord3_t
typedef FieldVector< alu3d_ctype, 2 >	coord2_t
typedef alu3d_ctype	double3_t[3]
typedef FieldMatrix< alu3d_ctype, 3, 3 >	mat3_t
typedef FieldMatrix< alu3d_ctype, 2, 3 >	matrix_t
typedef FieldMatrix< alu3d_ctype, 3, 2 >	inv_t

Protected Member Functions
template<class vector_t >
void	buildMapping (const vector_t &, const vector_t &, const vector_t &, const vector_t &, alu3d_ctype(&_b)[4][3])

Protected Attributes
alu3d_ctype	_b [4][3]
mat3_t	Df
mat3_t	Dfi
inv_t	invTransposed_
matrix_t	matrix_
alu3d_ctype	DetDf
coord3_t	normal_
coord3_t	tmp_
bool	_calcedInv
bool	_calcedTransposed
bool	_calcedMatrix
alu3d_ctype	_n [3][3]
bool	_affine

Static Protected Attributes
static const double	_epsilon = 1.0e-8

Detailed Description

A bilinear surface mapping.

Member Typedef Documentation

BaseType

typedef SurfaceNormalCalculator Dune::BilinearSurfaceMapping::BaseType

protected

coord2_t

typedef FieldVector<alu3d_ctype, 2> Dune::BilinearSurfaceMapping::coord2_t

protected

coord3_t

typedef FieldVector<alu3d_ctype, 3> Dune::BilinearSurfaceMapping::coord3_t

protected

double3_t

typedef alu3d_ctype Dune::BilinearSurfaceMapping::double3_t[3]

protected

inv_t

typedef FieldMatrix<alu3d_ctype,3,2> Dune::BilinearSurfaceMapping::inv_t

protected

mat3_t

typedef FieldMatrix<alu3d_ctype,3,3> Dune::BilinearSurfaceMapping::mat3_t

protected

matrix_t

typedef FieldMatrix<alu3d_ctype,2,3> Dune::BilinearSurfaceMapping::matrix_t

protected

Constructor & Destructor Documentation

BilinearSurfaceMapping() [1/4]

alu_inline Dune::BilinearSurfaceMapping::BilinearSurfaceMapping

(

)

Constructor creating empty mapping with double , i.e. zero.

BilinearSurfaceMapping() [2/4]

alu_inline Dune::BilinearSurfaceMapping::BilinearSurfaceMapping	(	const coord3_t &	x0,
		const coord3_t &	x1,
		const coord3_t &	x2,
		const coord3_t &	x3
	)

Constructor getting FieldVectors.

BilinearSurfaceMapping() [3/4]

alu_inline Dune::BilinearSurfaceMapping::BilinearSurfaceMapping	(	const double3_t &	x0,
		const double3_t &	x1,
		const double3_t &	x2,
		const double3_t &	x3
	)

Constructor for double[3].

BilinearSurfaceMapping() [4/4]

alu_inline Dune::BilinearSurfaceMapping::BilinearSurfaceMapping

(

const BilinearSurfaceMapping &

m

)

~BilinearSurfaceMapping()

Dune::BilinearSurfaceMapping::~BilinearSurfaceMapping ( )

inline

Member Function Documentation

affine()

bool Dune::SurfaceNormalCalculator::affine ( ) const

inlineinherited

buildMapping() [1/3]

template<class vector_t >

void Dune::BilinearSurfaceMapping::buildMapping	(	const vector_t &	,
		const vector_t &	,
		const vector_t &	,
		const vector_t &
	)

buildMapping() [2/3]

template<class vector_t >

void Dune::SurfaceNormalCalculator::buildMapping ( const vector_t &  , const vector_t &  , const vector_t &  , const vector_t &  , alu3d_ctype(&)  _b[4][3]  )

protectedinherited

buildMapping() [3/3]

template<class vector_t >

alu_inline void Dune::BilinearSurfaceMapping::buildMapping	(	const vector_t &	_p0,
		const vector_t &	_p1,
		const vector_t &	_p2,
		const vector_t &	_p3
	)

det()

alu_inline alu3d_ctype Dune::BilinearSurfaceMapping::det

(

const coord2_t &

point

)

const

inverse()

alu_inline void Dune::BilinearSurfaceMapping::inverse

(

const coord3_t &

point

)

const

jacobianInverseTransposed()

alu_inline const BilinearSurfaceMapping::inv_t & Dune::BilinearSurfaceMapping::jacobianInverseTransposed

(

const coord2_t &

local

)

const

jacobianTransposed()

alu_inline const BilinearSurfaceMapping::matrix_t & Dune::BilinearSurfaceMapping::jacobianTransposed

(

const coord2_t &

local

)

const

map2world() [1/2]

alu_inline void Dune::BilinearSurfaceMapping::map2world	(	const alu3d_ctype	x,
		const alu3d_ctype	y,
		coord3_t &	w
	)		const

map2world() [2/2]

alu_inline void Dune::BilinearSurfaceMapping::map2world	(	const coord2_t &	map,
		coord3_t &	wld
	)		const

negativeNormal() [1/2]

alu_inline void Dune::SurfaceNormalCalculator::negativeNormal ( const alu3d_ctype  x, const alu3d_ctype  y, coord3_t &  norm  ) const

inherited

negativeNormal() [2/2]

alu_inline void Dune::SurfaceNormalCalculator::negativeNormal ( const coord2_t &  map, coord3_t &  norm  ) const

inherited

normal() [1/2]

alu_inline void Dune::SurfaceNormalCalculator::normal ( const alu3d_ctype  x, const alu3d_ctype  y, coord3_t &  norm  ) const

inherited

normal() [2/2]

alu_inline void Dune::SurfaceNormalCalculator::normal ( const coord2_t &  map, coord3_t &  norm  ) const

inherited

world2map()

alu_inline void Dune::BilinearSurfaceMapping::world2map	(	const coord3_t &	wld,
		coord2_t &	map
	)		const

Member Data Documentation

_affine

bool Dune::SurfaceNormalCalculator::_affine

protectedinherited

_b

alu3d_ctype Dune::BilinearSurfaceMapping::_b[4][3]

protected

_calcedInv

bool Dune::BilinearSurfaceMapping::_calcedInv

mutableprotected

_calcedMatrix

bool Dune::BilinearSurfaceMapping::_calcedMatrix

mutableprotected

_calcedTransposed

bool Dune::BilinearSurfaceMapping::_calcedTransposed

mutableprotected

_epsilon

const double Dune::BilinearSurfaceMapping::_epsilon = 1.0e-8

staticprotected

_n

alu3d_ctype Dune::SurfaceNormalCalculator::_n[3][3]

protectedinherited

DetDf

alu3d_ctype Dune::BilinearSurfaceMapping::DetDf

mutableprotected

Df

mat3_t Dune::BilinearSurfaceMapping::Df

mutableprotected

Dfi

mat3_t Dune::BilinearSurfaceMapping::Dfi

protected

invTransposed_

inv_t Dune::BilinearSurfaceMapping::invTransposed_

mutableprotected

matrix_

matrix_t Dune::BilinearSurfaceMapping::matrix_

mutableprotected

normal_

coord3_t Dune::BilinearSurfaceMapping::normal_

mutableprotected

tmp_

coord3_t Dune::BilinearSurfaceMapping::tmp_

mutableprotected

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The documentation for this class was generated from the following files:

• mappings.hh
• mappings.cc
• mappings_imp.cc